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Tsuda–Sakai conjecture on the nonexistence of the Garnier analogue of $w_2$
The Garnier system has analogues of the Painlevé VI transformations $w_1,w_3,w_4,l_1,l_2,l_3$ , defined by Tsuda, while $w_2$ denotes the remaining generator of the affine extension…
Conjectureopengarnier-systems isomonodromic-deformations painleve-equationsarXiv posted 2 days ago

Tsuda–Sakai conjecture on the nonexistence of the Garnier analogue of w2w_2w2​